The number 61009
61009 is a perfect square (247²). Its prime factorisation is × . Divisors (9): 1, 13, 19, 169, 247, 361, 3211, 4693, 61009.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 61009: a perfect square (247²).
- 2
61009 is composite. Its prime factorisation is
- 3
The divisors add up to 69723; without 61009 itself that is 8714, so 61009 is deficient (8714 is less than 61009). Euler's totient φ(61009) = 53352 numbers up to 61009 share no factor with it.
- 4
The digits of 61009 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 61009 = 13^{2} \times 19^{2} \]61009 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 9 |
| Sum of divisors | 69723 |
| Euler totient φ(n) | 53352 |
| Square | 3722098081 |
| Cube | 227081481823729 |
| Square root | 247 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.1009 × |
| Perfect power |
61009 in other forms
| Form | Value |
|---|---|
| In words | sixty-one thousand and nine |
| Binary (base 2) | 1110111001010001 |
| Octal (base 8) | 167121 |
| Hexadecimal (base 16) | EE51 |
| Base 3 | 10002200121 |
| As time | 61009 seconds = 16 h 56 min 49 s |
Is 61009 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 1) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 1) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 61009 a prime number?
No. 61009 = × , so it is divisible by 13.
What are the factors of 61009?
1, 13, 19, 169, 247, 361, 3211, 4693, 61009.
What is 61009 in binary?
1110111001010001 (hexadecimal EE51, octal 167121).
What is the square root of 61009?
247, because 247 × 247 = 61009.
Is 61009 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 61009?
61009 is a perfect square (247²).